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Vladimir [108]
2 years ago
12

Given than line a is parallel to line b and that line c is parallel to line d, if m<13=(12x-22) & m<14=(9x-29), find m

<2.
a 65
b 70
c 85
d 110

Mathematics
1 answer:
Lesechka [4]2 years ago
5 0
13+14=180°
12x-22+9x-29=180
21x-51=180
x=11

m<2=m<14
m<2=70°
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Answer:

Step-by-step explanation:

Let us first generate the frequency table from the information given:

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6                                            9                                   54

8                                            13                                  104

12                                           16                                  192

14                                            12                                168

Total                                     ∑(f) = 50                          ∑f(x) =518

In order to determine the last frequency (the remaining years), we will add the other frequencies and subtract the answer from 50, which is the total frequency (50 years). This is done as follows:

Let the last frequency be f

9 + 3 + 16 + f = 50

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f = 50 - 38 = 12

Now, calculating mean:

\bar {X} = \frac{\sum f(x)}{\sum(f)} \\\\\bar {X} = \frac{518}{50} \\\\\bar {X} = 10.36

Therefore mean number of hurricanes = 10.4 (to one decimal place)

7 0
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